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Global bifurcation and multiple results for Sturm–Liouville problems

✍ Scribed by Yujun Cui; Jingxian Sun; Yumei Zou

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
249 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

We consider the nonlinear Sturm-Liouville boundary value problem

where L is the linear Sturm-Liouville operator (Lu)(t) = -(p(t)u ′ (t)) ′ + q(t)u(t). We obtain a global bifurcation result for a related bifurcation problem. We then use this to obtain multiple (at least eight) solutions of the Sturm-Liouville problem having specified nodal properties.

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